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Finding the Third Proportional to 24,457 and 53,602

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Solution

The third proportional to 24,457 and 53,602 is: 117,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457 : 53,602 = 53,602 : x
  2. Step 2: Convert to fraction form
    24,457/53,602 = 53,602/x
  3. Step 3: Cross multiply
    24,457x = 53,602 × 53,602
  4. Step 4: Simplify right side
    24,457x = 2,873,174,404
  5. Step 5: Solve for x
    x = 2,873,174,404/24,457
  6. Step 6: Final answer
    x = 117,478.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.